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Finding the Fourth Proportional to 473.97, 654.14 and 287.52

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Solution

The fourth proportional to 473.97, 654.14 and 287.52 is: 396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.97 : 654.14 = 287.52 : x
  2. Step 2: Convert to fraction form
    473.97/654.14 = 287.52/x
  3. Step 3: Cross multiply
    473.97x = 654.14 × 287.52
  4. Step 4: Simplify right side
    473.97x = 188,078.33
  5. Step 5: Solve for x
    x = 188,078.33/473.97
  6. Step 6: Final answer
    x = 396.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.